tegrate \( y=\frac{d x}{\sqrt{9}-4 x^{2}} \)

Find the volume of the solid formed by rotating the area under the curve \( y = \frac{1}{x} \) from \( x = 1 \) to \( x = 3 \) about the y-axis.

If \( \lim _{x \rightarrow a} \frac{x^{8}-a^{8}}{x^{6}-a^{6}}=48 \), then \( a \)

c. The value of output which equates average product and marginal product Use the product rule to find the first-order partials for each of the following functions a. \( z=3 x^{2}(5 x+7 y) \) b. \( z=(9 x-4 y)(12 x+2 y) \)

1. The Derivative of the function \( f(x)=e(3 x+2) \) is a. 3

\( \operatorname { Lim } _ { x \rightarrow 0 } \frac { 1 - \cos x + \sin 6 x } { 1 - \cos x + \tan 3 x } = \cdot \cdot \)